What Uniqueness for the Holst-Nagy-Tsogtgerel–Maxwell Solutions to the Einstein Conformal Constraint Equations?

IF 0.7 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-06-25 DOI:10.1007/s10455-025-10000-9

Romain Gicquaud

引用次数: 0

Abstract

This paper addresses the issue of uniqueness of solutions in the conformal method for solving the constraint equations in general relativity with arbitrary mean curvature as developed initially by Holst, Nagy, Tsogtegerel and Maxwell. We show that, under a technical assumption, the solution they construct is unique amongst those having volume below a certain threshold.

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爱因斯坦共形约束方程的Holst-Nagy-Tsogtgerel-Maxwell解的唯一性？

本文讨论了Holst， Nagy， Tsogtegerel和Maxwell最初提出的求解任意平均曲率广义相对论约束方程的保形方法中解的唯一性问题。我们表明，在技术假设下，他们构建的解在体积低于某一阈值的解中是唯一的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.